Math Puzzle: How Many Days to Climb a 100 km Mountain?

Math Puzzle: How Many Days to Climb a 100 km Mountain?

In this thought-provoking math puzzle, a man is climbing a 100 km inclined mountain. Each day, he ascends 2 km but slips back 1 km each night. The challenge is to calculate how many days it will take him to reach the top of the mountain. Dive into this puzzle to test your logical skills and figure out the total days required to complete his journey!

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Question: A man is climbing up a mountain which is inclined. He has to travel 100 km to reach the top of the mountain. Every day He climbs up 2 km forward in the day time. Exhausted, he then takes rest there at night time. At night, while he is asleep, he slips down 1 km backwards because the mountain is inclined. Then how many days does it take him to reach the mountain top?

Answer: 99 days

Daily Progress:

Each day, the man climbs 2 km up and slips down 1 km at night.
Net progress per day:
2 km −1km=1km
Calculate Total Days:

On the last day, he will reach the top without slipping down.
If he climbs 1 km per day, reaching 99 km will take
99
99 days (as 100−1=99).
Final Climb:

On the 99th day, he climbs the remaining 2 km to reach the top without slipping back.
So, the man reaches the top of the mountain in 99 days.

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